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Finding the Fourth Proportional to 257,050.88, 354,732 and 149,683.52

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Solution

The fourth proportional to 257,050.88, 354,732 and 149,683.52 is: 206,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,050.88 : 354,732 = 149,683.52 : x
  2. Step 2: Convert to fraction form
    257,050.88/354,732 = 149,683.52/x
  3. Step 3: Cross multiply
    257,050.88x = 354,732 × 149,683.52
  4. Step 4: Simplify right side
    257,050.88x = 53,097,534,416.64
  5. Step 5: Solve for x
    x = 53,097,534,416.64/257,050.88
  6. Step 6: Final answer
    x = 206,564.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.